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Finding the Third Proportional to 64,604.25 and 137,025

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Solution

The third proportional to 64,604.25 and 137,025 is: 290,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,604.25 : 137,025 = 137,025 : x
  2. Step 2: Convert to fraction form
    64,604.25/137,025 = 137,025/x
  3. Step 3: Cross multiply
    64,604.25x = 137,025 × 137,025
  4. Step 4: Simplify right side
    64,604.25x = 18,775,850,625
  5. Step 5: Solve for x
    x = 18,775,850,625/64,604.25
  6. Step 6: Final answer
    x = 290,628.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.